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Finding the Fourth Proportional to 6,206.13, 8,565 and 3,412.17

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Solution

The fourth proportional to 6,206.13, 8,565 and 3,412.17 is: 4,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.13 : 8,565 = 3,412.17 : x
  2. Step 2: Convert to fraction form
    6,206.13/8,565 = 3,412.17/x
  3. Step 3: Cross multiply
    6,206.13x = 8,565 × 3,412.17
  4. Step 4: Simplify right side
    6,206.13x = 29,225,236.05
  5. Step 5: Solve for x
    x = 29,225,236.05/6,206.13
  6. Step 6: Final answer
    x = 4,709.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.